D -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD

Bazavov, Alexei; DeTar, Carleton; El-Khadra, Aida X.; Gámiz, Elvira; Gelzer, Zechariah; Gottlieb, Steven; Jay, William I.; Jeong, Hwancheol; Kronfeld, Andreas S.; Li, Ruizi; Lytle, Andrew T.; Mackenzie, Paul B.; Neil, Ethan T.; Primer, Thomas; Simone, James N.; Sugar, Robert L.; Toussaint, Doug; Van de Water, Ruth S.; Vaquero, Alejandro

doi:10.1103/PhysRevD.107.094516

Title: $D$ -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD

Journal Article · Wed May 31 00:00:00 EDT 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.107.094516· OSTI ID:1975874

Bazavov, Alexei;

;

; Gámiz, Elvira; Gelzer, Zechariah;

;

; Li, Ruizi;

;

; Neil, Ethan T.;

;

; Sugar, Robert L.; Toussaint, Doug; Van de Water, Ruth S.;

We present lattice-QCD calculations of the hadronic form factors for the semileptonic decays D → πℓν, D → Kℓν, and D_s → Kℓν. Our calculation uses the highly improved staggered quark (HISQ) action for all valence and sea quarks and includes N_f = 2 + 1 + 1 MILC ensembles with lattice spacings ranging from a ≈ 0.12 fm down to 0.042 fm. At most lattice spacings, an ensemble with physical-mass light quarks is included. The HISQ action allows all the quarks to be treated with the same relativistic light-quark action, allowing for nonperturbative renormalization using partial conservation of the vector current. We combine our results with experimental measurements of the differential decay rates to determine |V_cd|^{D → π} = 0.2238(11)^Expt (15)^QCD (04)^EW (02)^SIB[22]^QED and |V_cs|^{D → K} = 0.9589 (23)^Expt (40)^QCD (15)^EW (05)^SIB[95]^QED. This result for |V_cd| is the most precise to date, with a lattice-QCD error that is, for the first time for the semileptonic extraction, at the same level as the experimental error. Using recent measurements from BES III, we also give the first-ever determination of |V_cd|^{D_s → K} = 0.258(15)^Expt (01)^QCD[03]^QED from D_s → Klν. Our results also furnish new Standard Model calculations of the lepton flavor universality ratios $$R$$$^{D → π}_{μ/e}$$ = 0.98671(17)^QCD[500]^QED, $$R$$$^{D → π}_{μ/e}$$ = 0.97606(16)^QCD[500]^QED, and $$R$$$^{D → π}_{μ/e}$$ = 0.98099(10)^QCD[500]^QED, which are consistent within 2σ with experimental measurements. Our extractions of |V_cd| and |V_cs|, when combined with a value for |V_cb|, provide the most precise test of second-row Cabibbo-Kobayashi-Maskawa unitarity, finding agreement with unitarity at the level of one standard deviation.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: Fermilab Lattice; MILC; Fermilab Lattice and MILC Collaborations

Grant/Contract Number:: SC0010120; SC0011090; SC0021006; SC0015655; SC0010005; AC02-07CH11359; AC02-06CH11357; AC05-00OR22725; AC02-05CH11231

OSTI ID:: 1975874

Alternate ID(s):: OSTI ID: 1915401; OSTI ID: 1975797

Report Number(s):: MIT-CTP/5513; FERMILAB-PUB-22-943-T; arXiv:2212.12648; PRVDAQ; 094516

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 107 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: $D$ -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD